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Finding the Third Proportional to 191,362.50 and 273,921.75

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Solution

The third proportional to 191,362.50 and 273,921.75 is: 392,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,362.50 : 273,921.75 = 273,921.75 : x
  2. Step 2: Convert to fraction form
    191,362.50/273,921.75 = 273,921.75/x
  3. Step 3: Cross multiply
    191,362.50x = 273,921.75 × 273,921.75
  4. Step 4: Simplify right side
    191,362.50x = 75,033,125,123.06
  5. Step 5: Solve for x
    x = 75,033,125,123.06/191,362.50
  6. Step 6: Final answer
    x = 392,099.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.